在平面直角坐标系中,
为坐标原点,
,
,
三点满足
.
(1)求
的值;
(2)已知
,且函数
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2b78b43898156b70eb20e632eb3684.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cc7c3c868df85726d6fec8d480e588.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a1e521ba07ef4e3e8230727313399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0245e9550cca603f861eb7a1a3878735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2021-08-23 13:34:31
|
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解答题-问答题
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适中
(0.65)
解题方法
【推荐1】若函数
的部分图像,如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/789982c5-e57b-49c6-b217-e1f86c307b35.png?resizew=185)
(1)求函数
的解析式
(2)当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00557a81ac0eecb1fab8fcd4fb3efb1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/789982c5-e57b-49c6-b217-e1f86c307b35.png?resizew=185)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca694423053f73595f663315b25cdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
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【推荐2】已知函数
,
(1)当
时,求
的最值及取到最值时
的值;
(2)若函数
在
上有两个不同的零点
,求实数
的取值范围,并求
的值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e19a3d62e7c82a10187937d5d7fa7a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d003123a00ab2c34c28db58e32e6cf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b946a8ec829a341aa6806a3eb0b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6f63bedb178dbb3349bed3cf43b0d9.png)
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【推荐3】已知函数
.
(1)求
的周期和单调递增区间;
(2)求
在
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565c764a39ce558239f79b00bebcb467.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a52298e06894173520ca36a565bef5.png)
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【推荐1】如图,在平行四边形
中,
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/17/94efaffd-ac8f-4234-afe0-cc576f326ed4.png?resizew=174)
(1)若
,求
的值;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cec41918dd423be9430107e98c934f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d72555221faaa30f62dcbeaf27121d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/17/94efaffd-ac8f-4234-afe0-cc576f326ed4.png?resizew=174)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e321df8991f8e85d512c4368c83b169e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61bb2d4bbd66fed50acd856fd04bdf31.png)
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解题方法
【推荐2】如图,已知椭圆
的离心率为
,以椭圆C的左顶点T为圆心作圆
,设圆T与椭圆C交于点M,N.
![](https://img.xkw.com/dksih/QBM/2020/12/19/2617751842807808/2625196722257920/STEM/d2e438039f86403996a87f492b8adbad.png?resizew=300)
(1)求椭圆C的方程;
(2)求
的最小值,并求此时圆T的方程;
(3)设点P是椭圆C上异于M,N的任意一点,且直线
,
分别与x轴交于点R,S,O为坐标原点.试问:
是否为定值?如果是,求出这个定值,如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f917c606f7883cff799fc35ec068ee8.png)
![](https://img.xkw.com/dksih/QBM/2020/12/19/2617751842807808/2625196722257920/STEM/d2e438039f86403996a87f492b8adbad.png?resizew=300)
(1)求椭圆C的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fa4729c5ac7062d40bbcf3e49312d2.png)
(3)设点P是椭圆C上异于M,N的任意一点,且直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ffc7d1af9053b027cf9e726f5367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a946b70a9b34178c7d9f3a08c8b1ee4.png)
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